Find the length of each side of an equilateral triangle with perimeter 60 inches.

Answer/Step-by-step explanation:

Since ∆PHS ≅ ∆CNF, therefore:

<P ≅ <C,

<H ≅ <N

<S ≅ <F

Thus:

Since, <P ≅ <C, therefore,

36° = (4z - 32)°

36 = 4z - 32

Add 32 to both sides

36 + 32 = 4z

68 = 4z

Divide both sides by 4

68/4 = z

17 = z

z = 17

Since <H ≅ <N, therefore:

6x - 29 = 115°

Add 29 to both sides

6x = 115 + 29

6x = 144

Divide both sides by 6

x = 114/6

x = 24

m<F + m<C + m<N = 180° (sum of ∆)

(3y - 1) + (4z - 32) + 115 = 180 (substitution)

Plug in the value of z and solve for y

3y - 1 + 4(17) - 32 + 115 = 180

3y - 1 + 68 - 32 + 115 = 180

3y + 150 = 180

Subtract 150 from both sides

3y = 180 - 150

3y = 30

y = 10

The value of x, y and z are 24, 10 and 17 respectively.

PHS≅CNF

Therefore,

∠P ≅ ∠C

∠H ≅ ∠N

∠S ≅ ∠F

36 = 4z - 32

36 + 32 = 4z

4z = 68

z = 68 / 4

z = 17

6x - 29 = 115

6x = 115 + 29

x = 144 / 6

x = 24

3y - 1 = 180 - 115 - (4z - 32)

3y - 1 = 180 - 115 - 4z + 32

3y - 1 = 97 - 4(17)

3y - 1 = 29

3y = 30

y = 30 / 3

y = 10

learn more: https://brainly.com/question/20502277?referrer=searchResults

Answer:

y=5x+8.50

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

8 times 4 = 32

Answer: the answer is 32

Step-by-step explanation:

He made 8 key chains each week for 4 weeks 8*4 is 32 because if you make 8 key chains for 4 weeks it will add up to 32 hope this helps

Answer:

Rigid transformations preserve segment lengths and angle measures.

Rigid transformations produce congruent figures.

If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.

Step-by-step explanation:

All of the answers are correct, meaning that A,B, and all true.

its 5=54                                            that is what i thsiknss

Answer:

7

Step-by-step explanation:

[tex]\frac{10}{5} = \frac{14}{x}\\10x=70\\x=7[/tex]

Answer:

seven hundred and three dollars

Step-by-step explanation:

Answer:

seven hundred three

Step-by-step explanation:

just read it in hundreads

Answer:

Step-by-step explanation:

For number 1 the rate of change is 12 per 1  and for number 2 b is linear.

Answer:

100 1/4

Step-by-step explanation:

Answer:

1,061.64

Step-by-step explanation:

Im sorry if this is wrong

Answer:

x=3.5

Step-by-step explanation:

subract 5 on the other side, than divide by 2

Answer:

Figure (c)

Step-by-step explanation:

a). Angles in the figure attached are the linear pair of angles.

    Since, sum of the linear pair of angles is 180°.

    2x + 38 = 180°

b). Angles given in this figure are the vertically opposite angles.

   Since, vertically opposite angles are equal in measure.

   2x = 38°

c). There are three angles given the picture.

   Since these angles are formed at a point of a line, sum of angles will be 180°.

   90° + 38° + 2x = 180°

   2x + 38 = 180 - 90

   2x + 38 = 90°

Therefore, figure (c) shows the equation.  

Answer:

c

Step-by-step explanation:

Answer:

9/8

Step-by-step explanation:

1/2 = 4/8

5/8 + 4/8 = 9/8

Answer:

what? there is nothing here... did you mean to attach a picture?

Step-by-step explanation:

Step-by-step explanation:

[tex]{:}\longrightarrow[/tex][tex]\sf 2 (x+4)+(x+1)=6 (2x)[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x+8+(x+1)=12x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x+8+x+1=12x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x+x+8+1=12x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x+9=12x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 12x=3x+9 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 12x-3x=9 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 9x=9 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {9}{9}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=1 [/tex]

Answer:

HOPE THIS HELPS!!!

Step-by-step explanation:

To find the product,

✔ multiply

the numerators and

✔ multiply

the denominators.

The product is

✔ 2/15

Divide:  2

5

 ÷  3

5

To divide, multiply by the

✔ reciprocal

.

The quotient is

✔ 2/3

.

Answer:

Izzdebizz was right i am at teacher

Step-by-step explanation:

Answer:

Television = $200 and DVD player = $450

Step-by-step explanation:

→ Make 2 equations

Televisions = t and DVD players = d

2t + 3d = 1750

4t + d = 1250

→ Multiply the bottom equation by 3 to make the same variable of d

2t + 3d = 1750

12t + 3d = 3750

→ Minus the two equations to isolate the d variable

-10t = -2000

→ Divide both sides by -10 to find the cost of one television

t = 200

→ Substitute t = 200 back into 4t + d = 1250

800 + d = 1250

→ Minus 800 from both sides to isolate d

d = 450

Answer:

The solutions to the quadratic equation using the quadratic formula will be:

[tex]x=\frac{1}{2},\:x=\frac{1}{4}[/tex]

Step-by-step explanation:

Given the equation

[tex]8x^2-6x+1=0[/tex]

solving with the quadratic formula

[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}[/tex]

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\mathrm{For\:}\quad a=8,\:b=-6,\:c=1[/tex]

[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:8\cdot \:1}}{2\cdot \:8}[/tex]

as

[tex]\sqrt{\left(-6\right)^2-4\cdot \:8\cdot \:1}=2[/tex]

so

[tex]x_{1,\:2}=\frac{-\left(-6\right)\pm \:2}{2\cdot \:8}[/tex]

Separating the solution

[tex]x_1=\frac{-\left(-6\right)+2}{2\cdot \:8},\:x_2=\frac{-\left(-6\right)-2}{2\cdot \:8}[/tex]

solving

[tex]x_1=\frac{-\left(-6\right)+2}{2\cdot \:\:8}[/tex]

    [tex]=\frac{6+2}{2\cdot \:8}[/tex]

   [tex]=\frac{8}{16}[/tex]

   [tex]=\frac{1}{2}[/tex]

and

[tex]x_2=\frac{-\left(-6\right)-2}{2\cdot \:8}[/tex]

   [tex]=\frac{6-2}{2\cdot \:\:\:8}[/tex]

    [tex]=\frac{4}{16}[/tex]

    [tex]=\frac{1}{4}[/tex]

Therefore, the solutions to the quadratic equation using the quadratic formula will be:

[tex]x=\frac{1}{2},\:x=\frac{1}{4}[/tex]

Answer:

1/4 1/2

Step-by-step explanation:

Answer:

this is the Formel 4000:100×4=160

=================================================

Work Shown:

Solve the given equation for y

2y = 3x - 10

y = (3x-10)/2 ..... divide both sides by 2

y = (3x)/2 - 10/2

y = (3/2)x - 5

The equation is in y = mx+b form with m = 3/2 as the slope.

The perpendicular slope is -2/3 because we flip the fraction and the sign from positive to negative.

Note how multiplying the original slope 3/2 and the perpendicular slope -2/3 leads to -1

(3/2)*(-2/3) = -1

This is true for any pair of perpendicular lines, assuming neither line is vertical.

Answer:

251.24$

Step-by-step explanation:

In order to find the answer to this question you just need to add the total cost together.

What we do know:

[tex]B=56.24[/tex]

[tex]NM=195[/tex]

[tex]56.24+195=251.24[/tex]

[tex]=251.24[/tex]

Hope this helps.

Answer:

x = 6

General Formulas and Concepts:

Pre-Algebra

Geometry

Step-by-step explanation:

Step 1: Set up equation

(8x + 2) + 70 + 60 = 180

Step 2: Solve for x

Answer:

2775

Step-by-step explanation:

Hope this helped :)

Step-by-step explanation:

That's the rifgt answer for sure!!

Plz Mark brainliest...

Answer:

The first is 1:6 and the second one is 4

Step-by-step explanation: